### Home > INT2 > Chapter 7 > Lesson 7.1.5 > Problem7-62

7-62.

Simplify $(2 + i)(3 - 5i) - (1 - 4i)^2$.

 $2+i$ $3$ $6$ $3i$ $-5i$ $-10i$ $-5i^2$

Recall that $i^2$; is equivalent to $-1$.

Combine like terms and remember to subtract all of $(1-4i)^2$.

 $1-4i$ $1$ $1$ $-4i$ $-4i$ $-4i$ $16i^2$